Conference proceeding
Geometric distributions for catadioptric sensor design
2001 IEEE COMPUTER SOCIETY CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, VOL 1, PROCEEDINGS, Vol.1, pp.584-589
IEEE Conference on Computer Vision and Pattern Recognition
01 Jan 2001
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We present a general method of catadioptric sensor design for realizing prescribed projections. Our method makes use of geometric distributions in 3-dimensional space, which are generalizations of vector fields. The main idea is this: if one desires a reflective surface that will image the world in a certain way, then this condition determines the orientation of the tangent planes to the surface. Analytically, this means that the surface will then be determined by a pair of partial differential equations, which may or may not have a common solution. We show how to check if a common solution exists. If no common solution exists, we describe a method for obtaining optimal approximate solutions in a least-squares sense. As an example application, we construct a mirror that will give a panoramic view of a scene without any digital unwarping.
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Details
- Title
- Geometric distributions for catadioptric sensor design
- Creators
- R A HicksR K Perline
- Contributors
- A Jacobs (Editor)T Baldwin (Editor)
- Publication Details
- 2001 IEEE COMPUTER SOCIETY CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, VOL 1, PROCEEDINGS, Vol.1, pp.584-589
- Series
- IEEE Conference on Computer Vision and Pattern Recognition
- Publisher
- IEEE
- Number of pages
- 6
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991019170509604721
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